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Chris Dagnall had put the Tykes ahead but a straight red card for Jean Yves M'voto moments later and a Tom Cairney equaliser from the resulting free kick turned the tide and, once Rhodes had struck his first on the half hour, the result was never in doubt.
A Rhodes lob nine minutes later and a Josh King tap in put the game well beyond Barnsley, who conceded again in the second half when Todd Kane got his first in Blackburn colours.
Blackburn v Barnsley
The Tykes came out looking Adidas Neo Price
And Cairney delivered instant retribution with a wonderful free kick that found the top corner of Luke Steele's goal.
Rovers started brightest, but Barnsley took the lead after 13 minutes, when Dagnall was allowed time and space on the edge of the area to turn and shoot and his precision strike nestled into the bottom corner.
Tomasz Cywka's emphatic strike was of little consolation to Barnsley, who are without a win this season, and they have tasted victory just once in their last 12 games in all competitions.
Both teams made one change each from their last league Adidas Los Angeles Night Sky
The pendulum swung right back in the favour of Rovers three minutes later when M'voto cynically brought down Rhodes, leaving the referee with no option but to show a red card.
It owed much to a howler from Steele who somehow managed to palm his shot into his own goal.
Sustained pressure followed, with King denied by Steele who had initially flapped at a cross, and then Tom Kennedy wore one in Adidas Los Angeles Black Yellow
Barnsley did get a second after 72 minutes when Pedersen's audacious flick found Cywka who lashed in a sumptuous effort from 25 yards but it was of little consolation for the beleaguered Flitcroft.
games, with Josh King replacing Chris Taylor for Rovers and Kelvin Etuhu in for David Perkins for Barnsley.
Jordan Rhodes bagged his first goals of the season as Blackburn scored four first half goals to rout 10 man Barnsley and secure their first win this season in the Sky Bet Championship.
the face to thwart Jason Lowe's goalbound effort.
The pressure told after 30 minutes and it was the impressive Kane who swung in a deep cross for Rhodes to expertly send a looping header past Steele, and he put the result beyond doubt nine minutes later with a cool lob from a Scott Dann long ball that caught Steele in no man's land.
Rovers were rampant and got their fourth after 43 minutes when David Dunn sent Kane clear who provided his second assist of the game. This time King was the beneficiary and he tapped in from six yards.
to restore pride and new Adidas Downtown Los Angeles recruit Marcus Pedersen almost did that but was thwarted by Grant Hanley and Rovers netted a fifth through the marauding Kane after 58 minutes.
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